Multi-Gieseker semistability and moduli of quiver sheaves
Algebraic Geometry
2018-01-18 v2
Abstract
We generalize the notion of multi-Gieseker semistability for coherent sheaves, introduced by Greb, Ross, and Toma, to quiver sheaves for a quiver . We construct coarse moduli spaces for semistable quiver sheaves using a functorial method that realizes these as subschemes of moduli spaces of representations of a twisted quiver, depending on , with relations. We also show the projectivity of the moduli space in the case when has no oriented cycles. Finally, we investigate the parameter dependence of the moduli.
Keywords
Cite
@article{arxiv.1710.00371,
title = {Multi-Gieseker semistability and moduli of quiver sheaves},
author = {Marcel Maslovarić and Henrik Seppänen},
journal= {arXiv preprint arXiv:1710.00371},
year = {2018}
}
Comments
66 pages. Quiver sheaves with relations are considered. A section on the dependence on the stability parameter has been added